You might be able to just get way with a mud ring if the hole was cut smaller.
BWP Single 1-Gang Drywall Bracket Face Wall Plate Mount Mud Ring Low Voltage Mounting Bracket (1 Gang, 12 Pack) https://www.amazon.com/dp/B09BK9R9X5/ref=cm_sw_r_cp_api_glt_i_GZNE1XX8B2MZMM62AX6Q?_encoding=UTF8&psc=1
Home Depot / lowes will likely have single packs.
Repair the drywall first, I like this channel How to repair overcut electrical box
Then install an old work low voltage bracket Low voltage bracket
In the future don’t use drywall anchors to try to directly attach a wall plate. There’s not enough drywall between the cut out and where the anchor would go to be a strong connection.